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Ivahew [28]
3 years ago
7

Eira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints

used for each mix and connected them using a line segment, as shown in the graph below:
A line graph titled Color Mix, with Quantity of Blue Paint, in millimeters, on the X axis and Quantity of Red Paint, in millimeters, on the Y axis. The X axis has a scale from 0 to 9 with an increment of 1. The Y axis has a scale of 0 to 18 in increments of 2. A straight line connecting 3, 2 and 7, 12 is drawn.

Which statement best describes the domain of the function represented in the graph? (1 point)


3 ≤ x ≤ 12 or x is between 3 and 12, inclusive

3 ≤ x ≤ 7 or x is between 3 and 7, inclusive

2 ≤ x ≤ 12 or x is between 2 and 12, inclusive

2 ≤ x ≤ 7 or x is between 2 and 7, inclusive

Mathematics
1 answer:
lesya [120]3 years ago
4 0

Answer:

3 ≤ x ≤ 7 or x is between 3 and 7, inclusive

Step-by-step explanation:

Eira's graph probably resembled the diagram below.

The domain is the set of all possible x-values that will make a function work.

x can take any value from 3 to 7.

The domain is [3, 7] or 3 ≤ x ≤ 7.

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Matthew made a scale model of the solar system for a science project. He created the planet Mercury with a diameter of 6 inches.
Ronch [10]

Answer:

3000

Step-by-step explanation:

I'm learning this right now too!

500×6in=3000

6 0
2 years ago
Is (6,1)(8,-3)(6,7) a function
pochemuha

Answer:

No It's not

Step-by-step explanation:

Since

x=6 produces y=1 and y=7, the relation (6,1),(8,−3),(6,7) is not a function.

The relation is not a function.

6 0
3 years ago
Read 2 more answers
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP
aivan3 [116]

Problem 61

The nth triangular number is

T(n) = n(n+1)/2

I'll rewrite this into

T(n) = 0.5n(n+1)

The triangular number right after this is

T(n+1) = 0.5(n+1)(n+2)

I replaced every n with n+1 and simplified

Let's see what we get when we add up the two expressions

T(n) + T(n+1)

0.5n(n+1) + 0.5(n+1)(n+2)

0.5n^2+0.5n + 0.5(n^2+3n+2)

0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1

n^2+2n+1

(n+1)^2

This shows that the sum of any two consecutive triangular numbers results in a square number

Here's a few examples

  • 0+1 = 1
  • 1+3 = 4
  • 3+6 = 9
  • 6+10 = 16
  • 10+15 = 25

Note each sum is a perfect square, which visually would plot out a square figure.

For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}

<h3>Answer: Square number</h3>

==========================================================

Problem 64

Let's say we go with n = 5.

This means,

T(n) = 0.5n(n+1)

T(n-1) = 0.5(n-1)(n-1+1)

T(n-1) = 0.5n(n-1)

T(5-1) = 0.5*5(5-1)

T(4) = 10

This says that when n = 5, the 4th triangular number is 10

Triple that result and add on n = 5

3*T(4) + n = 3*10+5 = 35

This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.

Through a bit of trial and error, you should find it's a pentagonal number

Pentagonal numbers are of the form n(3n-1)/2

If you plugged n = 5 into that, it leads to 35

n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35

The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)

<h3>Answer: Pentagonal number</h3>

8 0
2 years ago
$70.00 at 5% for 2 years
aleksandrvk [35]

Answer:

$7

Step-by-step explanation:

Hey there

to solve this kind of problem we use the formula:

<h3>\frac{p * t * r}{100} </h3><h3>if we solve it :</h3>

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 70 × 0.05 × 2 = 7

I = $ 7.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 5% per year

for 2 years is $ 7.00.

3 0
3 years ago
Find the probability of rolling two number cubes and getting a 2 on the first number cube and a 6 on the second?
Tanzania [10]

Answer:

A

Step-by-step explanation:

A cube has 6 sides

Only one side of the cube has 2 on it

The probability of getting 2 would be 1/6

Only one side of the cube has 6 on it

The probability of getting 6 would be 1/6

For both events to happen together

1/6 x 1/6 = 1/36

4 0
3 years ago
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